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Finding the Fourth Proportional to 5,964.68, 8,231.61 and 3,447.24

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Solution

The fourth proportional to 5,964.68, 8,231.61 and 3,447.24 is: 4,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.68 : 8,231.61 = 3,447.24 : x
  2. Step 2: Convert to fraction form
    5,964.68/8,231.61 = 3,447.24/x
  3. Step 3: Cross multiply
    5,964.68x = 8,231.61 × 3,447.24
  4. Step 4: Simplify right side
    5,964.68x = 28,376,335.26
  5. Step 5: Solve for x
    x = 28,376,335.26/5,964.68
  6. Step 6: Final answer
    x = 4,757.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.